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SSCCGL Quantitative Aptitude Solved Question Paper 2011

Multiple Choice Questions

91.
An aeroplane when flying at a height of 5000m from the ground passes vertically above another aeroplane at an instant, when the angles of elevation of the two aeroplanes from the same point on the ground are 60° and 45° respectively. The vertical distance between the aeroplanes at that instant is

$5000 left parenthesis square root of 3 minus 1 right parenthesis space straight m$
$5000 space left parenthesis 3 minus square root of 3 right parenthesis space straight m$
$5000 open parentheses 1 minus fraction numerator 1 over denominator square root of 3 end fraction close parentheses straight m$
$5000 open parentheses 1 minus fraction numerator 1 over denominator square root of 3 end fraction close parentheses straight m$

5000 open parentheses 1 minus fraction numerator 1 over denominator square root of 3 end fraction close parentheses straight m

Let A and B be the position of two aeroplanes. When B is vertically below Q and AC = 5000 m and let BC = y m.
Now, in ΔDCA,

tan space 60 degree space equals space AC over DC rightwards double arrow space space square root of 3 space equals space 5000 over DC rightwards double arrow space space DC space equals space fraction numerator 5000 space over denominator square root of 3 end fraction

Now, in ΔDCB,

tan space 45 degree space equals space BC over DC rightwards double arrow space 1 space equals space fraction numerator BC over denominator begin display style fraction numerator 5000 over denominator square root of 3 end fraction end style end fraction rightwards double arrow space space BC space equals space fraction numerator 5000 over denominator square root of 3 end fraction

∴ Vertical distance between A and B
= AC - BC

rightwards double arrow space space 5000 space minus space fraction numerator 5000 over denominator square root of 3 end fraction rightwards double arrow space space 5000 open parentheses 1 minus fraction numerator 1 over denominator square root of 3 end fraction close parentheses

1418 Views

92.

The angles of a triangle are in Arithmetic Progression. The ratio of the least angle in degrees to the number of radians in the greatest angle is $60 thin space colon space straight pi$ . The angles in degrees are

30°, 60°, 90°
35°, 55°, 90°
40°, 50°, 90°
40°, 50°, 90°

225 Views

93.

The expression $fraction numerator tan space 57 degree space plus space cot space 37 degree over denominator tan space 33 degree space plus space cot space 53 degree end fraction$ is equal to

$tan space 33 degree space cot space 57 degree$
$tan space 57 degree space cot space 37 degree$
$tan space 33 degree space cot space 53 degree$
$tan space 33 degree space cot space 53 degree$

161 Views

94.

The minimum value of sin²θ + cos²θ + sec²θ + cosec²θ + tan²θ + cot²θ is

184 Views

95.

If $2 space sin space open parentheses πx over 2 close parentheses space equals space straight x squared space plus space 1 over straight x squared comma$ then the value of $open parentheses straight x minus 1 over straight x close parentheses$ is

-1
2
1
1

134 Views

96.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years

Total number of mobiles of models A, B and E manufactured in 2007 was

24,50,000
22,75,000
21,00,000
21,00,000

67 Views

97.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years

For which models was the percentage variation in production from 2007 to 2008 the maximum?

B and C
C and D
D and E
D and E

61 Views

98.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years

What was the difference in the number of B type mobiles produced in 2007 and 2008?

3,55,000
2,70,000
2,25,000
2,25,000

73 Views

99.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years

If the percentage production of A-type mobiles in 2008 was same as that in 2007, then the number of A-type mobiles produced in 2008 would have been

14,00,000
13,20,000
11,70,000
11,70,000

65 Views

100.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years.

If 85% of the D type mobiles produced in each year were sold by the company, how many D type mobiles remained unsold?